# Homework Help: Divergence theorem

1. May 15, 2009

### joemama69

1. The problem statement, all variables and given/known data

use the divergence theorem to evaluate the integral F dot dA

F = (2x-z)i + x2yj + xz2k

s is the surface enclosing the unit cube and oriented outward

2. Relevant equations

3. The attempt at a solution

is the the region from -1 to 1 for x y and z

div F = x2 + 2xz + 2

x2 + 2xz + 2 dx = x3/3 + x2z + 2x from -1 to 1

14/3 dy = 14y/3 from -1 to 1 = 28/3

28/3 dz = 28z/3 from -1 to 1 = 56/3

is this correct

2. May 15, 2009

### HallsofIvy

No, the "unit cube" is defined by $0\le x\le 1$, $0\le y\le 1$, $0\le z\le 1$.